In this hypothetical universe where the speed of light \( c \) is proportional to the local gravitational field strength \( g \) (i.e., \( c \propto g \)), the journey of the laser pulse from a region of weak gravity toward a black hole would exhibit some unusual and counterintuitive behavior. Here’s how its speed, frequency, and trajectory would change:

### 1. Speed of the LasER Pulse:
- **Initial Speed (Weak Gravity):** In the region of very weak gravity (e.g., far from any significant mass), the speed of light \( c \) is very small (close to zero, since \( c \propto g \) and \( g \approx 0 \)).
- **Approaching the Black Hole:** As the laser pulse moves closer to the black hole, the gravitational field strength \( g \) increases, so the speed of light \( c \) increases proportionally. Thus, the pulse would accelerate as it approaches the black hole.
- **Near the Event Horizon:** Just outside the event horizon, the gravitational field is extremely strong, so the speed of light would be much higher than its "normal" value in our universe (where \( c \) is constant). The pulse’s speed would approach some maximum value (which could be many times \( c_{\text{our universe}} \)), depending on how \( c \) scales with \( g \).

### 2. Frequency of the Laser Pulse (Gravitational Redshift/Blueshift):
- **Gravitational Redshift (Outbound):** Under normal general relativity, a photon moving away from a gravitational field loses energy (redshift). In this case, since the photon is moving toward higher \( g \) (and thus higher \( c \)), the opposite would happen: the frequency would increase (blueshift).
- **Frequency Near the Black Hole:** As the pulse approaches the event horizon, the frequency would shift toward higher values (blueshift) because the photon gains energy as it moves into a strong gravitational field. However, the exact behavior depends on how the speed of light varies with \( g \). If \( c \) is proportional to \( g \), the relationship between frequency and gravity would also need to be carefully considered (since normally, in GR, frequency is inversely proportional to \( c \)).

### 3. Trajectory of the Laser Pulse:
- **Bending Toward the Black Hole:** Since the speed of light \( c \) increases with \( g \), the pulse would effectively "surf" the gravitational field, accelerating toward regions of stronger gravity. This would lead to a highly curved trajectory, possibly even causing the pulse to spiral inward more rapidly than in GR (where light bends due to spacetime curvature, not variable \( c \)).
- **Photon Sphere:** In normal GR, light can orbit the black hole at the photon sphere (a radius of \( 3r_s \) for a Schwarzschild black hole, where \( r_s \) is the Schwarzschild radius). In this scenario, the increased \( c \) near the black hole might allow the photon sphere to be at a smaller radius, or the trajectory might be more unstable due to the changing speed of light.
- **Event Horizon:** If the pulse enters the black hole, its fate is unknown. In normal GR, the photon would never cross the event horizon from a distant observer's perspective (it would be infinitely redshifted). In this case, if \( c \) increases with \( g \), the pulse might cross the horizon at a finite speed (from the perspective of a stationary observer near the horizon), but the implications for causality and information are unclear.

### Key Differences from General Relativity:
- In GR, the speed of light is always \( c \), and gravitational effects manifest as spacetime curvature. Here, the speed of light itself changes, which would alter the geometry of spacetime and the equations of motion.
- The trajectory would be non-standard because light would effectively "accelerate" toward stronger gravity, leading to more extreme bending than in GR.
- The frequency shift would be opposite to GR's redshift, and the behavior near the black hole could be chaotic due to the non-linear relationship between \( c \) and \( g \).

### Conclusion:
In this hypothetical universe, the laser pulse would accelerate toward the black hole as its speed of light increases, its frequency would blueshift, and its trajectory would be more curved than in GR. The exact behavior would depend on how \( c \) scales with \( g \), and the implications for causality and black hole physics would be profound and likely incomparable to our normal understanding.